Ginny42
It's possibly more likely to end up in A&E from a bike ride than a walk.
Statistically you might be right, I don't know, but I had quite a heavy fall while out walking the other day. My toes caught on the point of a stone sticking up out of the ground as I was walking a cross a field (on the footpath). I didn't half go flying!
Luckily, apart from a bruised knee, I was ok, but it certainly occurred to me how lucky I was not to get an injury that would require hospital attention.
Come to think of it, I had another bad fall about a year ago while walking on the local footpaths, when I tripped over a piece of wire that had been left across the path after the wooden stile rotted away. Again, I really went flying, landing heavily on both a wrist and a knee. Painful, but nothing broken
Based purely on those experiences, I think cycling might be safer than walking in rural areas, especially now there are fewer cars on the roads - for me, anyway!